14 Nov 2021
Problem 9b
Page 306
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
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14 Nov 2021
Given information
A farmer with of fencing wishes to surround a rectangular area and divide it into four pens by running fencing parallel to one edge of the rectangle. What is the total possible area of the four pens? Create a diagram that depicts the overall situation. Introduce notation and name your symbols on the diagram.
Step-by-step explanation
Step 1.
In his 1797 work Théorie des fonctions analytiques, Joseph-Louis Lagrange proposed an additional form for the remainder of Taylor's series. The remainder in Lagrange's version is as follows:
Suppose is a function such that is continuous on an interval containing and . Then
where is some number between and .